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Finding the Third Proportional to 34,802 and 53,899

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Solution

The third proportional to 34,802 and 53,899 is: 83,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802 : 53,899 = 53,899 : x
  2. Step 2: Convert to fraction form
    34,802/53,899 = 53,899/x
  3. Step 3: Cross multiply
    34,802x = 53,899 × 53,899
  4. Step 4: Simplify right side
    34,802x = 2,905,102,201
  5. Step 5: Solve for x
    x = 2,905,102,201/34,802
  6. Step 6: Final answer
    x = 83,475.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.